Where \(r\)  is the maximum size of the added perturbation. We choose \(r = 0.1\) , as in [1]}. Note that this is a type II-metric, meaning that it needs access to the attribution method \(E \in \mathcal {E}\)  rather than just the attribution map \(e \in \mathbb {R}^d\) . This metric scales linearly with the number of samples \(k\)  (here chosen to be 50, as in [1]}) used to approximate the maximum value, and the number of forward/backward passes necessary to compute the attribution map \(C_{mth}\) . Note that this can result in very large runtimes when evaluating computationally complex methods.
